## Proceedings of the International Conference on Geometry, Integrability and Quantization

- Geom. Integrability & Quantization
- Proceedings of the Tenth International Conference on Geometry, Integrability and Quantization, Ivaïlo M. Mladenov, Gaetano Vilasi and Akira Yoshioka, eds. (Sofia: Avangard Prima, 2009), 248 - 264

### Defects in Four-Dimensional Continua: A Paradigm for the Expantion of the Universe?

#### Abstract

The presence of defects in material continua is known to produce internal permanent strained states. Extending the theory of defects to four dimensions and allowing for the appropriate signature, it is possible to apply these concepts to space-time. In this case a defect would induce a non-trivial metric tensor, which can be interpreted as a gravitational field. The image of a defect in space-time can be applied to the description of the Big Bang. A review of the four-dimensional generalisation of defects and an application to the expansion of the universe will be presented.

#### Article information

**Dates**

First available in Project Euclid:
13 July 2015

**Permanent link to this document**

https://projecteuclid.org/
euclid.pgiq/1436793449

**Digital Object Identifier**

doi:10.7546/giq-10-2009-248-264

**Mathematical Reviews number (MathSciNet)**

MR2757839

**Zentralblatt MATH identifier**

1183.83128

#### Citation

Tartaglia, Angelo. Defects in Four-Dimensional Continua: A Paradigm for the Expantion of the Universe?. Proceedings of the Tenth International Conference on Geometry, Integrability and Quantization, 248--264, Avangard Prima, Sofia, Bulgaria, 2009. doi:10.7546/giq-10-2009-248-264. https://projecteuclid.org/euclid.pgiq/1436793449

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